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130039240 = 235231071321
BaseRepresentation
bin1111100000000…
…11110111001000
3100001200200022011
413300003313020
5231242223430
620523105304
73136213102
oct760036710
9301620264
10130039240
1167449451
1237672234
1320c305c6
14133b0572
15b63a22a
hex7c03dc8

130039240 has 64 divisors (see below), whose sum is σ = 308396160. Its totient is φ = 49251840.

The previous prime is 130039223. The next prime is 130039241. The reversal of 130039240 is 42930031.

It is not an unprimeable number, because it can be changed into a prime (130039241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97780 + ... + 99100.

It is an arithmetic number, because the mean of its divisors is an integer number (4818690).

Almost surely, 2130039240 is an apocalyptic number.

130039240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130039240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154198080).

130039240 is an abundant number, since it is smaller than the sum of its proper divisors (178356920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130039240 is a wasteful number, since it uses less digits than its factorization.

130039240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 130039240 is about 11403.4749089916. The cubic root of 130039240 is about 506.6306664942.

Adding to 130039240 its reverse (42930031), we get a palindrome (172969271).

The spelling of 130039240 in words is "one hundred thirty million, thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 1321 2140 2461 2642 4280 4922 5284 6605 9844 10568 12305 13210 19688 24610 26420 30383 49220 52840 60766 98440 121532 141347 151915 243064 282694 303830 565388 607660 706735 1130776 1215320 1413470 2826940 3250981 5653880 6501962 13003924 16254905 26007848 32509810 65019620 130039240